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29287344132992 = 271154563381223
BaseRepresentation
bin1101010100010111111011…
…01111100101001110000000
310211200211202100221201000002
412222023331233211032000
512314320440044223432
6142142230430415132
76111640455435221
oct652137557451600
9124624670851002
1029287344132992
119371769275240
1233501003614a8
131345a27cb120a
1473372d2db248
1535bc6eae9e62
hex1aa2fdbe5380

29287344132992 has 64 divisors (see below), whose sum is σ = 63651385388160. Its totient is φ = 13312150248960.

The previous prime is 29287344132911. The next prime is 29287344133001. The reversal of 29287344132992 is 29923144378292.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76634093 + ... + 77015315.

It is an arithmetic number, because the mean of its divisors is an integer number (994552896690).

Almost surely, 229287344132992 is an apocalyptic number.

29287344132992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29287344132992 is an abundant number, since it is smaller than the sum of its proper divisors (34364041255168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29287344132992 is a wasteful number, since it uses less digits than its factorization.

29287344132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435811 (or 435799 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 65.

The spelling of 29287344132992 in words is "twenty-nine trillion, two hundred eighty-seven billion, three hundred forty-four million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 54563 109126 218252 381223 436504 600193 762446 873008 1200386 1524892 1746016 2400772 3049784 3492032 4193453 4801544 6099568 6984064 8386906 9603088 12199136 16773812 19206176 24398272 33547624 38412352 48796544 67095248 76824704 134190496 268380992 536761984 20800670549 41601341098 83202682196 166405364392 228807376039 332810728784 457614752078 665621457568 915229504156 1331242915136 1830459008312 2662485830272 3660918016624 7321836033248 14643672066496 29287344132992